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Finding the Fourth Proportional to 918.51, 1,377.72 and 269.22

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Solution

The fourth proportional to 918.51, 1,377.72 and 269.22 is: 403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.51 : 1,377.72 = 269.22 : x
  2. Step 2: Convert to fraction form
    918.51/1,377.72 = 269.22/x
  3. Step 3: Cross multiply
    918.51x = 1,377.72 × 269.22
  4. Step 4: Simplify right side
    918.51x = 370,909.78
  5. Step 5: Solve for x
    x = 370,909.78/918.51
  6. Step 6: Final answer
    x = 403.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.